Mariano Echeverria

Hill Assistant Professor, Rutgers University

Research Interests

I graduated from UVA in 2019. My advisor was Thomas Mark.

Currently my mathematical interests lie in Monopole Floer Homology and its interactions with contact and symplectic geometry. I am also interested in Instanton Floer Homology and its interactions with Monopole Floer Homology.

In the fall of 2019 I will start a 3-year position as a Hill Assistant Professor at Rutgers University-New Brunswick. Paul Feehan will be my mentor.

Papers

A Generalization of the Tristram-Levine Knot Signatures as a Singular Furuta-Ohta Invariant for Tori (Arxiv Version)

A Generalization of the Tristram-Levine Knot Signatures as a Singular Furuta-Ohta Invariant for Tori (Annotated Version)

This version includes more background information as well as an Appendix.

Naturality of the Contact Invariant in Monopole Floer Homology under Strong Symplectic Cobordisms

Thesis document: Naturality of the Contact Invariant in Monopole Floer Homology under Strong Symplectic Cobordisms

It includes some tedious calculations that I omitted in my paper, in addition to more background information.

Contact Information

328 Hill Center, Busch Campus

Department of Mathematics

Rutgers University

Piscataway, NJ 08854-8019 USA

email: mariano.echeverria@rutgers.edu